Formulate All

Objective

Confidence: 5/5
minb=1BBinUsedb\min \sum_{b=1}^{B} BinUsed_b

Constraints

Confidence: 5/5
i=1NItemInBini,b×ItemSizesiBinCapacity×BinUsedb,b=1,,B\sum_{i=1}^{N} ItemInBin_{i,b} \times ItemSizes_i \leq BinCapacity \times BinUsed_b, \quad \forall b = 1, \ldots, B
Confidence: 5/5
b=1BItemInBini,b=1,i{1,2,,N}\sum_{b=1}^{B} ItemInBin_{i,b} = 1, \quad \forall i \in \{1, 2, \ldots, N\}
Confidence: 5/5
ItemSizes[i]0,i{1,2,,N}ItemSizes[i] \geq 0, \quad \forall i \in \{1, 2, \ldots, N\}
Confidence: 5/5
b=1BBinUsedb0\sum_{b=1}^{B} BinUsed_{b} \geq 0

Variables

SymbolShapeDefinitionDomain